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Determine the value of a and b for which the two lines ax - 2y = 0 and 6x - 4y = b 1have exactly one intersection point 2 are distnict parallel lines 3 concide 4 perpendicular to eachother

Determine value of a and b for which the two lines ax - 2y =2 and 6x - 4y =b 1 have exactly one intersection point 2 are distnict parallel lines 3 concid 4 perpendicular

For each of the following sets,



a) S={1,2,3}, T ={a, b, c}



b) S={a, b}, T ={1,2,3,4}



c) S={1,2,3,4}, T ={a, b}



Determine whether



1. There is a one-to-one function f:S→T;



2. There is an onto function f:S→T; and



3. If there is a bijective function f:S→T.



4. For each (1–3) if such a function exists, explicitly give it. If no function exists give a short explanation?




Find two power series solutions of the given differential equation about the ordinary point x = 0. y'' - y = 0

a*b=-a-b-2ab; a⊕b=3a+3b


x*y=x2+2x+y2; x⊕y=x+y


. What is the value of x after each of these statements is encountered in a computer program, if x = 1 before the statement is reached? a) if x + 2 = 3 then x := x + 1


. What is the value of x after each of these statements is encountered in a computer program, if x = 1 before the statement is reached? a) if x + 2 = 3 then x := x + 1


1. Find these terms of the sequence {an}, where an =


2 · (−3)n + 5n.


a) a0


b) a1


c) a4


d) a5



Find these terms of the sequence {an}, where an =




2 · (−3)n + 5n.




a) a0




b) a1




c) a4




d) a5






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